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Einstein was the first to establish the equivalence between mass and energy. According to him, whenever a certain mass (Deltam) disappears in some process, the amount of energy releasedis E=(Deltam)c^(2), where c, is velocity of light in vacuum (=3xx10^(8)m//s). The reverse is also true, i.e., whenever energy E disappears, anequivalent mass (Deltam)=E//c^(2). Read the above passage and answer the following questions: (i) What is the energy released when 1a.m.u. of mass in a nuclear reaction? (ii) Do you want know any phenomenon in which energy materialises? (iii) What values of life do you learn form this famous relation? |
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Answer» Solution :(i) Here, `Deltam=1a.m.u. =1.66xx10^(-27)kg` `E=(Deltam)c^(2)=1.66xx10^(-27)(3XX10^(8))^(2)=1.49xx10^(-10)J` (ii) Yes, in the phenomenon of pair production. Under suitable conditions, a photon materialises into an electron and a postion : `gamma=e^(-1)+e^(+1)` (ii) Einstein's relation, `E=(Deltam)c^(2)` emphasies that when certain mass disppears, an equivalent amount of energy APPEARS. The reverse is also true. It IMPLIES that to gain somethings, you have to lose another in equivalent amount. No one can have all gains together or all LOSSES together. It also implies that nothing comes for free. You have to pay the price in one form and acquire something in the desired form. |
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